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Finding the Third Proportional to 263,244 and 407,170

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Solution

The third proportional to 263,244 and 407,170 is: 629,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,244 : 407,170 = 407,170 : x
  2. Step 2: Convert to fraction form
    263,244/407,170 = 407,170/x
  3. Step 3: Cross multiply
    263,244x = 407,170 × 407,170
  4. Step 4: Simplify right side
    263,244x = 165,787,408,900
  5. Step 5: Solve for x
    x = 165,787,408,900/263,244
  6. Step 6: Final answer
    x = 629,786.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.